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Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):ab\text{ is even}}). Is (R) symmetric?
Class 12 · Mathematics
→If a symmetric relation (R) on (A={1,2,3}) contains ((1,2)) and ((2,3)), which pairs must also be present at minimum?
Class 12 · Mathematics
→If (R={(1,2),(2,1),(2,3),(3,2),(1,3)}), which pair must be added to make (R) symmetric?
Class 12 · Mathematics
→Which option gives a relation that is reflexive but not symmetric?
Class 12 · Mathematics
→Which option gives a relation (R) that is symmetric but not reflexive?
Class 12 · Mathematics
→Why is (R={(a,b):a\equiv b \pmod{3}}) symmetric on (A={1,2,3,4,5})?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a\equiv b \pmod{2}}). Choose the correct option about (R).
Class 12 · Mathematics
→Which statement is correct about the identity relation (I={(a,a):a\in A})?
Class 12 · Mathematics
→Why is the universal relation (A\times A) symmetric?
Class 12 · Mathematics
→Why is the empty relation (\varnothing) on a non-empty set (A) considered symmetric?
Class 12 · Mathematics
→Which of the following statements is false?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,1),(2,3),(3,2)}). Which property is definitely present?
Class 12 · Mathematics
→If (R) is symmetric, what can be said about the complement of (R) with respect to (A\times A)?
Class 12 · Mathematics
→If (R) and (S) are both symmetric relations, what is the correct statement about (R\cup S)?
Class 12 · Mathematics
→If (R) and (S) are both symmetric relations, what is true about (R\cap S)?
Class 12 · Mathematics
→Which option gives a relation that is both symmetric and reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+2=b}). Choose the correct statement about (R).
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). What is (R)?
Class 12 · Mathematics
→If (R^{-1}=R), what is the correct conclusion about (R)?
Class 12 · Mathematics
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